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Finding the Fourth Proportional to 8,139.84, 12,209.76 and 2,944.50

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Solution

The fourth proportional to 8,139.84, 12,209.76 and 2,944.50 is: 4,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.84 : 12,209.76 = 2,944.50 : x
  2. Step 2: Convert to fraction form
    8,139.84/12,209.76 = 2,944.50/x
  3. Step 3: Cross multiply
    8,139.84x = 12,209.76 × 2,944.50
  4. Step 4: Simplify right side
    8,139.84x = 35,951,638.32
  5. Step 5: Solve for x
    x = 35,951,638.32/8,139.84
  6. Step 6: Final answer
    x = 4,416.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.